Area of Sector Worksheet

In this page area of sector worksheet we are going to see 10 problems in the form of quiz.

Generally we are having two formulas to find area of any sector. We can use any either formula depending on the details given in the question.

Area of the sector = (θ/360) x Π r ² square units

(or)  Area of the sector = (1/2) x l r square units               


θ - central angle formed by the sector

L - length of arc

r - radius of the sector

We can use the first formula if the central angle(θ) formed by the sector and radius given. If the length of arc(L) is given we have to use the second formula only.

Question 1 :

Find the area of sector whose perimeter is 78 cm and central angle is 45°



(A) 122 square cm
(B) 308 square cm
(C) 148 square cm




Question 2 :

Find the area of sector whose perimeter is 64 cm and central angle is 60°



(A) 242 square cm
(B) 315 square cm
(C) 231 square cm




Question 3 :

Find the area of sector whose perimeter is 92 cm and central angle is 36°



(A) 385 square cm
(B) 416 square cm
(C) 105 square cm




Question 4 :

Find the area of sector whose perimeter is 43 cm and radius is 10.5 cm



(A) 120.5 square cm
(B) 115.5 square cm
(C) 123.5 square cm




Question 5 :

Find the area of sector whose perimeter is 86 cm and radius is 21 cm



(A) 180 square cm
(B) 498 square cm
(C) 462 square cm




Question 6 :

Find the area of sector whose perimeter is 56 cm and radius is 10 cm



(A) 180 square cm
(B) 150 square cm
(C) 162 square cm




Question 7 :

Find the area of sector whose perimeter is 64 cm and radius is 14 cm



(A) 296 square cm
(B) 285 square cm
(C) 252 square cm




Question 8 :

Find the area of sector whose perimeter is 45 cm and radius is 10 cm



(A) 125 square cm
(B) 185 square cm
(C) 152 square cm




Question 9 :

Find the area of sector whose perimeter is 147 cm and radius is 35 cm



(A) 1347.5 square cm
(B) 1855.6 square cm
(C) 1521.3 square cm




Question 10 :

Find the area of sector whose length of arc is 21 cm and radius is 66 cm



(A) 347 square cm
(B) 693 square cm
(C) 842 square cm




These are the questions in the page area of sector worksheet.area of sector worksheet

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